Zhang, Fan; Cheng, Jian A bound-preserving and positivity-preserving finite volume WENO scheme for solving five-equation model of two-medium flows. (English) Zbl 07567378 Commun. Nonlinear Sci. Numer. Simul. 114, Article ID 106649, 22 p. (2022). MSC: 76Mxx 65Mxx 76Nxx PDF BibTeX XML Cite \textit{F. Zhang} and \textit{J. Cheng}, Commun. Nonlinear Sci. Numer. Simul. 114, Article ID 106649, 22 p. (2022; Zbl 07567378) Full Text: DOI OpenURL
Kim, Kwangil; Hong, Unhyok; Ri, Kwanhung; Yu, Juhyon Construction of convergent adaptive weighted essentially non-oscillatory schemes for Hamilton-Jacobi equations on triangular meshes. (English) Zbl 07396169 Appl. Math., Praha 66, No. 4, 599-617 (2021). MSC: 35F21 65M12 65M50 PDF BibTeX XML Cite \textit{K. Kim} et al., Appl. Math., Praha 66, No. 4, 599--617 (2021; Zbl 07396169) Full Text: DOI OpenURL
Pan, Liang; Xu, Kun An arbitrary-Lagrangian-Eulerian high-order gas-kinetic scheme for three-dimensional computations. (English) Zbl 1482.65165 J. Sci. Comput. 88, No. 1, Paper No. 8, 29 p. (2021). Reviewer: Michael Jung (Dresden) MSC: 65M08 65M22 41A58 82C40 76P05 76N15 35Q20 PDF BibTeX XML Cite \textit{L. Pan} and \textit{K. Xu}, J. Sci. Comput. 88, No. 1, Paper No. 8, 29 p. (2021; Zbl 1482.65165) Full Text: DOI OpenURL
Zhu, Jun; Qiu, Jianxian A new type of high-order WENO schemes for Hamilton-Jacobi equations on triangular meshes. (English) Zbl 1473.65226 Commun. Comput. Phys. 27, No. 3, 897-920 (2020). MSC: 65M60 35L65 PDF BibTeX XML Cite \textit{J. Zhu} and \textit{J. Qiu}, Commun. Comput. Phys. 27, No. 3, 897--920 (2020; Zbl 1473.65226) Full Text: DOI OpenURL
Denicolai, Emilie; Honoré, Stéphane; Hubert, Florence; Tesson, Rémi Microtubules (MT) a key target in oncology: mathematical modeling of anti-MT agents on cell migration. (English) Zbl 1473.35593 Math. Model. Nat. Phenom. 15, Paper No. 63, 26 p. (2020). MSC: 35Q92 35Q49 92C37 92C40 76D07 65M08 PDF BibTeX XML Cite \textit{E. Denicolai} et al., Math. Model. Nat. Phenom. 15, Paper No. 63, 26 p. (2020; Zbl 1473.35593) Full Text: DOI OpenURL
Chiarello, Felisia A.; Goatin, Paola; Villada, Luis M. High-order finite volume WENO schemes for non-local multi-class traffic flow models. (English) Zbl 1460.65106 Bressan, Alberto (ed.) et al., Hyperbolic problems: theory, numerics, applications. Proceedings of the 17th international conference, HYP2018, Pennsylvania State University, University Park, PA, USA, June 25–29, 2018. Springfield, MO: American Institute of Mathematical Sciences (AIMS). AIMS Ser. Appl. Math. 10, 353-360 (2020). MSC: 65M08 35L65 90B20 PDF BibTeX XML Cite \textit{F. A. Chiarello} et al., AIMS Ser. Appl. Math. 10, 353--360 (2020; Zbl 1460.65106) OpenURL
Zhang, Jianying Stability of linear multistep time iterations with the WENO5 discretization at discontinuities. (English) Zbl 1452.65200 J. Sci. Comput. 84, No. 3, Paper No. 48, 24 p. (2020). MSC: 65M20 65M06 65L06 35L67 PDF BibTeX XML Cite \textit{J. Zhang}, J. Sci. Comput. 84, No. 3, Paper No. 48, 24 p. (2020; Zbl 1452.65200) Full Text: DOI OpenURL
Yu, Yize; Jiang, Yan; Zhang, Mengping Free-stream preserving finite difference schemes for ideal magnetohydrodynamics on curvilinear meshes. (English) Zbl 1432.76192 J. Sci. Comput. 82, No. 1, Paper No. 23, 26 p. (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 76M20 76W05 65M06 65M08 35Q35 76M12 PDF BibTeX XML Cite \textit{Y. Yu} et al., J. Sci. Comput. 82, No. 1, Paper No. 23, 26 p. (2020; Zbl 1432.76192) Full Text: DOI arXiv OpenURL
Pan, Liang; Xu, Kun High-order gas-kinetic scheme with three-dimensional WENO reconstruction for the Euler and Navier-Stokes solutions. (English) Zbl 07157296 Comput. Fluids 198, Article ID 104401, 15 p. (2020). MSC: 76-XX PDF BibTeX XML Cite \textit{L. Pan} and \textit{K. Xu}, Comput. Fluids 198, Article ID 104401, 15 p. (2020; Zbl 07157296) Full Text: DOI arXiv OpenURL
Wang, Kun; Cheng, Jian; Liu, Tiegang High order finite difference scheme based on DG boundary treatment (FDbDG). (English) Zbl 1473.65122 Commun. Comput. Phys. 25, No. 5, 1413-1445 (2019). MSC: 65M06 35L45 35L65 65M60 PDF BibTeX XML Cite \textit{K. Wang} et al., Commun. Comput. Phys. 25, No. 5, 1413--1445 (2019; Zbl 1473.65122) Full Text: DOI OpenURL
Rehman, Asad; Qamar, Shamsul High order finite-volume WENO scheme for five-equation model of compressible two-fluid flow. (English) Zbl 1442.65205 Comput. Math. Appl. 76, No. 11-12, 2648-2664 (2018). MSC: 65M08 76M12 PDF BibTeX XML Cite \textit{A. Rehman} and \textit{S. Qamar}, Comput. Math. Appl. 76, No. 11--12, 2648--2664 (2018; Zbl 1442.65205) Full Text: DOI OpenURL
Jiang, Yan-Qun; Zhou, Shu-Guang; Chen, Bokui Fixed-point fast sweeping weighted essentially non-oscillatory method for multi-commodity continuum traffic equilibrium assignment problem. (English) Zbl 1460.90062 Appl. Math. Modelling 62, 404-414 (2018). MSC: 90B20 65M08 PDF BibTeX XML Cite \textit{Y.-Q. Jiang} et al., Appl. Math. Modelling 62, 404--414 (2018; Zbl 1460.90062) Full Text: DOI OpenURL
Zhang, Fan; Liu, Tiegang; Cheng, Jian High order stable multi-domain hybrid RKDG and WENO-FD methods. (English) Zbl 1424.65175 J. Comput. Math. 36, No. 4, 517-541 (2018). MSC: 65M60 65M06 PDF BibTeX XML Cite \textit{F. Zhang} et al., J. Comput. Math. 36, No. 4, 517--541 (2018; Zbl 1424.65175) Full Text: DOI Link OpenURL
Guo, Yan; Shi, YuFeng Seventh order compact-WENO scheme for hyperbolic conservation laws. (English) Zbl 1410.76230 Comput. Fluids 176, 193-209 (2018). MSC: 76M12 65M08 PDF BibTeX XML Cite \textit{Y. Guo} and \textit{Y. Shi}, Comput. Fluids 176, 193--209 (2018; Zbl 1410.76230) Full Text: DOI OpenURL
Bürger, Raimund; Chowell, Gerardo; Gavilán, Elvis; Mulet, Pep; Villada, Luis M. Numerical solution of a spatio-temporal gender-structured model for hantavirus infection in rodents. (English) Zbl 1379.92055 Math. Biosci. Eng. 15, No. 1, 95-123 (2018). MSC: 92D30 65L06 PDF BibTeX XML Cite \textit{R. Bürger} et al., Math. Biosci. Eng. 15, No. 1, 95--123 (2018; Zbl 1379.92055) Full Text: DOI OpenURL
Lee, B.; Kang, M.; Kim, Seongjai An essentially non-oscillatory Crank-Nicolson procedure for the simulation of convection-dominated flows. (English) Zbl 06849495 J. Sci. Comput. 71, No. 2, 875-895 (2017). MSC: 65-XX PDF BibTeX XML Cite \textit{B. Lee} et al., J. Sci. Comput. 71, No. 2, 875--895 (2017; Zbl 06849495) Full Text: DOI OpenURL
Li, Qin; Guo, Qilong; Sun, Dong; Liu, Pengxin; Zhang, Hanxin A fourth-order symmetric WENO scheme with improved performance by new linear and nonlinear optimizations. (English) Zbl 1384.65055 J. Sci. Comput. 71, No. 1, 109-143 (2017). MSC: 65M06 35L67 35Q30 65M12 76G25 76K05 76F05 76M20 PDF BibTeX XML Cite \textit{Q. Li} et al., J. Sci. Comput. 71, No. 1, 109--143 (2017; Zbl 1384.65055) Full Text: DOI OpenURL
Zhu, Jun; Qiu, Jianxian A new third order finite volume weighted essentially non-oscillatory scheme on tetrahedral meshes. (English) Zbl 1380.65200 J. Comput. Phys. 349, 220-232 (2017). MSC: 65M08 35L65 PDF BibTeX XML Cite \textit{J. Zhu} and \textit{J. Qiu}, J. Comput. Phys. 349, 220--232 (2017; Zbl 1380.65200) Full Text: DOI OpenURL
van Lith, Bart S.; ten Thije Boonkkamp, Jan H. M.; IJzerman, Wilbert L. Embedded WENO: a design strategy to improve existing WENO schemes. (English) Zbl 1380.65191 J. Comput. Phys. 330, 529-549 (2017). MSC: 65M06 35L65 PDF BibTeX XML Cite \textit{B. S. van Lith} et al., J. Comput. Phys. 330, 529--549 (2017; Zbl 1380.65191) Full Text: DOI arXiv OpenURL
Wong, Man Long; Lele, Sanjiva K. High-order localized dissipation weighted compact nonlinear scheme for shock- and interface-capturing in compressible flows. (English) Zbl 1375.76117 J. Comput. Phys. 339, 179-209 (2017). MSC: 76M20 76L05 76N99 PDF BibTeX XML Cite \textit{M. L. Wong} and \textit{S. K. Lele}, J. Comput. Phys. 339, 179--209 (2017; Zbl 1375.76117) Full Text: DOI arXiv OpenURL
Zhu, Yujie; Sun, Zhensheng; Ren, Yuxin; Hu, Yu; Zhang, Shiying A numerical strategy for freestream preservation of the high order weighted essentially non-oscillatory schemes on stationary curvilinear grids. (English) Zbl 1376.65117 J. Sci. Comput. 72, No. 3, 1021-1048 (2017). MSC: 65M06 35L65 76D05 76M20 PDF BibTeX XML Cite \textit{Y. Zhu} et al., J. Sci. Comput. 72, No. 3, 1021--1048 (2017; Zbl 1376.65117) Full Text: DOI OpenURL
Zhu, Jun; Qiu, Jianxian A new fifth order finite difference WENO scheme for Hamilton-Jacobi equations. (English) Zbl 1371.65089 Numer. Methods Partial Differ. Equations 33, No. 4, 1095-1113 (2017). MSC: 65M06 35F21 49L25 PDF BibTeX XML Cite \textit{J. Zhu} and \textit{J. Qiu}, Numer. Methods Partial Differ. Equations 33, No. 4, 1095--1113 (2017; Zbl 1371.65089) Full Text: DOI OpenURL
Hubert, Florence; Tesson, Rémi WENO scheme for transport equation on unstructured grids with a DDFV approach. (English) Zbl 1365.76157 Cancès, Clément (ed.) et al., Finite volumes for complex applications VIII – hyperbolic, elliptic and parabolic problems. FVCA 8, Lille, France, June 12–16, 2017. Cham: Springer (ISBN 978-3-319-57393-9/hbk; 978-3-319-57394-6/ebook; 978-3-319-58818-6/set). Springer Proceedings in Mathematics & Statistics 200, 13-21 (2017). MSC: 76M12 65M08 65Z05 65D05 PDF BibTeX XML Cite \textit{F. Hubert} and \textit{R. Tesson}, Springer Proc. Math. Stat. 200, 13--21 (2017; Zbl 1365.76157) Full Text: DOI OpenURL
Soni, V.; Roussel, O.; Hadjadj, A. On the accuracy and efficiency of point-value multiresolution algorithms for solving scalar wave and Euler equations. (English) Zbl 1365.65198 J. Comput. Appl. Math. 323, 159-175 (2017). MSC: 65M06 35L05 65M20 PDF BibTeX XML Cite \textit{V. Soni} et al., J. Comput. Appl. Math. 323, 159--175 (2017; Zbl 1365.65198) Full Text: DOI OpenURL
Guo, Yan; Shi, Yu-feng; Li, Yi-min A fifth-order finite volume weighted compact scheme for solving one-dimensional Burgers’ equation. (English) Zbl 1410.65342 Appl. Math. Comput. 281, 172-185 (2016). MSC: 65M08 65M12 35Q53 PDF BibTeX XML Cite \textit{Y. Guo} et al., Appl. Math. Comput. 281, 172--185 (2016; Zbl 1410.65342) Full Text: DOI OpenURL
Cai, Xiaofeng; Zhang, Xiangxiong; Qiu, Jianxian Positivity-preserving high order finite volume HWENO schemes for compressible Euler equations. (English) Zbl 1397.76084 J. Sci. Comput. 68, No. 2, 464-483 (2016). MSC: 76M12 65M08 76Nxx 35Q31 PDF BibTeX XML Cite \textit{X. Cai} et al., J. Sci. Comput. 68, No. 2, 464--483 (2016; Zbl 1397.76084) Full Text: DOI OpenURL
Liu, Hongxu; Jiao, Xiangmin WLS-ENO: weighted-least-squares based essentially non-oscillatory schemes for finite volume methods on unstructured meshes. (English) Zbl 1349.65375 J. Comput. Phys. 314, 749-773 (2016). MSC: 65M08 PDF BibTeX XML Cite \textit{H. Liu} and \textit{X. Jiao}, J. Comput. Phys. 314, 749--773 (2016; Zbl 1349.65375) Full Text: DOI arXiv OpenURL
Shi, YuFeng; Guo, Yan A maximum-principle-satisfying finite volume compact-WENO scheme for traffic flow model on networks. (English) Zbl 1346.65043 Appl. Numer. Math. 108, 21-36 (2016). MSC: 65M08 35L05 90B20 35B50 PDF BibTeX XML Cite \textit{Y. Shi} and \textit{Y. Guo}, Appl. Numer. Math. 108, 21--36 (2016; Zbl 1346.65043) Full Text: DOI OpenURL
Cravero, I.; Semplice, M. On the accuracy of WENO and CWENO reconstructions of third order on nonuniform meshes. (English) Zbl 1343.65116 J. Sci. Comput. 67, No. 3, 1219-1246 (2016). Reviewer: Marius Ghergu (Dublin) MSC: 65M08 65M06 65M50 35L65 65M12 PDF BibTeX XML Cite \textit{I. Cravero} and \textit{M. Semplice}, J. Sci. Comput. 67, No. 3, 1219--1246 (2016; Zbl 1343.65116) Full Text: DOI arXiv OpenURL
Kim, Chang Ho; Ha, Youngsoo; Yoon, Jungho Modified non-linear weights for fifth-order weighted essentially non-oscillatory schemes. (English) Zbl 1339.65124 J. Sci. Comput. 67, No. 1, 299-323 (2016). MSC: 65M06 35L65 65M12 PDF BibTeX XML Cite \textit{C. H. Kim} et al., J. Sci. Comput. 67, No. 1, 299--323 (2016; Zbl 1339.65124) Full Text: DOI OpenURL
Dorda, Antonius; Schürrer, Ferdinand A WENO-solver combined with adaptive momentum discretization for the Wigner transport equation and its application to resonant tunneling diodes. (English) Zbl 1351.81019 J. Comput. Phys. 284, 95-116 (2015). MSC: 81-08 65M06 81Q80 PDF BibTeX XML Cite \textit{A. Dorda} and \textit{F. Schürrer}, J. Comput. Phys. 284, 95--116 (2015; Zbl 1351.81019) Full Text: DOI OpenURL
Wu, Kailiang; Tang, Huazhong High-order accurate physical-constraints-preserving finite difference WENO schemes for special relativistic hydrodynamics. (English) Zbl 1349.76550 J. Comput. Phys. 298, 539-564 (2015). MSC: 76M20 65M06 76L05 76V05 76Y05 80A32 PDF BibTeX XML Cite \textit{K. Wu} and \textit{H. Tang}, J. Comput. Phys. 298, 539--564 (2015; Zbl 1349.76550) Full Text: DOI arXiv OpenURL
Li, Peng; Gao, Zhen; Don, Wai-Sun; Xie, Shusen Hybrid Fourier-continuation method and weighted essentially non-oscillatory finite difference scheme for hyperbolic conservation laws in a single-domain framework. (English) Zbl 1326.65109 J. Sci. Comput. 64, No. 3, 670-695 (2015). MSC: 65M06 35L65 76L05 76M20 PDF BibTeX XML Cite \textit{P. Li} et al., J. Sci. Comput. 64, No. 3, 670--695 (2015; Zbl 1326.65109) Full Text: DOI OpenURL
Jia, Feilin; Gao, Zhen; Don, Wai Sun A spectral study on the dissipation and dispersion of the WENO schemes. (English) Zbl 1319.65124 J. Sci. Comput. 63, No. 1, 49-77 (2015). MSC: 65P30 35L65 35L02 PDF BibTeX XML Cite \textit{F. Jia} et al., J. Sci. Comput. 63, No. 1, 49--77 (2015; Zbl 1319.65124) Full Text: DOI OpenURL
Jiang, Yan; Shu, Chi-Wang; Zhang, Mengping High-order finite difference WENO schemes with positivity-preserving limiter for correlated random walk with density-dependent turning rates. (English) Zbl 1318.65051 Math. Models Methods Appl. Sci. 25, No. 8, 1553-1588 (2015). Reviewer: Yajuan Sun (Beijing) MSC: 65M06 65M12 65M15 60G50 35L67 PDF BibTeX XML Cite \textit{Y. Jiang} et al., Math. Models Methods Appl. Sci. 25, No. 8, 1553--1588 (2015; Zbl 1318.65051) Full Text: DOI OpenURL
Hu, Fuxing; Wang, Rong; Chen, Xueyong; Feng, Hui An adaptive mesh method for 1D hyperbolic conservation laws. (English) Zbl 1310.65101 Appl. Numer. Math. 91, 11-25 (2015). MSC: 65M08 65M15 65M50 35L65 PDF BibTeX XML Cite \textit{F. Hu} et al., Appl. Numer. Math. 91, 11--25 (2015; Zbl 1310.65101) Full Text: DOI OpenURL
Shen, Yiqing; Liu, Li; Yang, Yan Multistep weighted essentially non-oscillatory scheme. (English) Zbl 1455.65139 Int. J. Numer. Methods Fluids 75, No. 4, 231-249 (2014). MSC: 65M06 65M12 76L05 PDF BibTeX XML Cite \textit{Y. Shen} et al., Int. J. Numer. Methods Fluids 75, No. 4, 231--249 (2014; Zbl 1455.65139) Full Text: DOI OpenURL
Li, Gang; Caleffi, Valerio; Gao, Jinmei High-order well-balanced central WENO scheme for pre-balanced shallow water equations. (English) Zbl 1391.76484 Comput. Fluids 99, 182-189 (2014). MSC: 76M20 65M06 PDF BibTeX XML Cite \textit{G. Li} et al., Comput. Fluids 99, 182--189 (2014; Zbl 1391.76484) Full Text: DOI OpenURL
Guo, Yan; Xiong, Tao; Shi, Yufeng A positivity-preserving high order finite volume compact-WENO scheme for compressible Euler equations. (English) Zbl 1351.76108 J. Comput. Phys. 274, 505-523 (2014). MSC: 76M12 65M08 76Nxx PDF BibTeX XML Cite \textit{Y. Guo} et al., J. Comput. Phys. 274, 505--523 (2014; Zbl 1351.76108) Full Text: DOI arXiv OpenURL
Jiang, Yan; Shu, Chi-Wang; Zhang, Mengping Free-stream preserving finite difference schemes on curvilinear meshes. (English) Zbl 1292.65091 Methods Appl. Anal. 21, No. 1, 1-30 (2014). MSC: 65M06 65M50 35L65 PDF BibTeX XML Cite \textit{Y. Jiang} et al., Methods Appl. Anal. 21, No. 1, 1--30 (2014; Zbl 1292.65091) Full Text: DOI OpenURL
Cheng, Jun Bo; Toro, Eleuterio F.; Jiang, Song; Tang, Weijun A sub-cell WENO reconstruction method for spatial derivatives in the ADER scheme. (English) Zbl 1349.65279 J. Comput. Phys. 251, 53-80 (2013). MSC: 65M06 65M25 PDF BibTeX XML Cite \textit{J. B. Cheng} et al., J. Comput. Phys. 251, 53--80 (2013; Zbl 1349.65279) Full Text: DOI OpenURL
Zahran, Yousef Hashem; Babatin, Mohammed M. Improved ninth order WENO scheme for hyperbolic conservation laws. (English) Zbl 1291.65276 Appl. Math. Comput. 219, No. 15, 8198-8212 (2013). MSC: 65M06 65M12 35L65 35Q53 65L06 PDF BibTeX XML Cite \textit{Y. H. Zahran} and \textit{M. M. Babatin}, Appl. Math. Comput. 219, No. 15, 8198--8212 (2013; Zbl 1291.65276) Full Text: DOI OpenURL
Jiang, Yi; Xu, Zhengfu Parametrized maximum principle preserving limiter for finite difference WENO schemes solving convection-dominated diffusion equations. (English) Zbl 1290.65077 SIAM J. Sci. Comput. 35, No. 6, A2524-A2553 (2013). Reviewer: Fernando Casas (Castellon) MSC: 65M06 35K55 35B50 35Q30 35Q35 76S05 76M20 PDF BibTeX XML Cite \textit{Y. Jiang} and \textit{Z. Xu}, SIAM J. Sci. Comput. 35, No. 6, A2524--A2553 (2013; Zbl 1290.65077) Full Text: DOI OpenURL
Ha, Youngsoo; Lee, Yeon Ju; Yoon, Jungho Modified essentially nonoscillatory schemes based on exponential polynomial interpolation for hyperbolic conservation laws. (English) Zbl 1317.65170 SIAM J. Numer. Anal. 51, No. 2, 864-893 (2013). Reviewer: Snezhana Gocheva-Ilieva (Plovdiv) MSC: 65M06 65M12 76M20 65M15 35L65 35Q05 35L67 76L05 PDF BibTeX XML Cite \textit{Y. Ha} et al., SIAM J. Numer. Anal. 51, No. 2, 864--893 (2013; Zbl 1317.65170) Full Text: DOI OpenURL
Zhu, Jun; Qiu, Jianxian WENO schemes and their application as limiters for RKDG methods based on trigonometric approximation spaces. (English) Zbl 1269.65083 J. Sci. Comput. 55, No. 3, 606-644 (2013). MSC: 65M08 35L65 65M60 PDF BibTeX XML Cite \textit{J. Zhu} and \textit{J. Qiu}, J. Sci. Comput. 55, No. 3, 606--644 (2013; Zbl 1269.65083) Full Text: DOI OpenURL
Liu, Hailiang; Pollack, Michael; Saran, Haseena Alternating evolution schemes for Hamilton-Jacobi equations. (English) Zbl 1270.65049 SIAM J. Sci. Comput. 35, No. 1, A122-A149 (2013). Reviewer: Othmar Koch (Baden) MSC: 65M06 65M12 35L02 35F21 49L25 78A05 91A23 65L06 PDF BibTeX XML Cite \textit{H. Liu} et al., SIAM J. Sci. Comput. 35, No. 1, A122--A149 (2013; Zbl 1270.65049) Full Text: DOI Link OpenURL
Chidyagwai, Prince; Nave, Jean-Christophe; Rosales, Rodolfo Ruben; Seibold, Benjamin A comparative study of the efficiency of jet schemes. (English) Zbl 1260.65089 Int. J. Numer. Anal. Model., Ser. B 3, No. 3, 297-306 (2012). MSC: 65M25 65M12 35L04 65M06 65M60 PDF BibTeX XML Cite \textit{P. Chidyagwai} et al., Int. J. Numer. Anal. Model., Ser. B 3, No. 3, 297--306 (2012; Zbl 1260.65089) Full Text: arXiv OpenURL
Hajipour, Mojtaba; Malek, Alaeddin High accurate NRK and MWENO scheme for nonlinear degenerate parabolic PDEs. (English) Zbl 1252.65166 Appl. Math. Modelling 36, No. 9, 4439-4451 (2012). MSC: 65M60 35K99 PDF BibTeX XML Cite \textit{M. Hajipour} and \textit{A. Malek}, Appl. Math. Modelling 36, No. 9, 4439--4451 (2012; Zbl 1252.65166) Full Text: DOI OpenURL
Sjögreen, Björn High order finite difference and finite volume methods for advection on the sphere. (English) Zbl 1252.65145 J. Sci. Comput. 51, No. 3, 703-732 (2012). MSC: 65M06 65M08 35L60 65M12 86A10 PDF BibTeX XML Cite \textit{B. Sjögreen}, J. Sci. Comput. 51, No. 3, 703--732 (2012; Zbl 1252.65145) Full Text: DOI OpenURL
Huang, Chieh-Sen; Arbogast, Todd; Qiu, Jianxian An Eulerian-Lagrangian WENO finite volume scheme for advection problems. (English) Zbl 1260.65083 J. Comput. Phys. 231, No. 11, 4028-4052 (2012). Reviewer: Vasilis Dimitriou (Chania) MSC: 65M08 35L02 65M12 65M15 PDF BibTeX XML Cite \textit{C.-S. Huang} et al., J. Comput. Phys. 231, No. 11, 4028--4052 (2012; Zbl 1260.65083) Full Text: DOI OpenURL
van der Pijl, S. P.; Oosterlee, C. W. An ENO-based method for second-order equations and application to the control of dike levels. (English) Zbl 1245.65077 J. Sci. Comput. 50, No. 2, 462-492 (2012). Reviewer: Jan Lovíšek (Bratislava) MSC: 65K10 35K20 49L25 35F21 91B62 49J20 49M25 35L65 65M06 PDF BibTeX XML Cite \textit{S. P. van der Pijl} and \textit{C. W. Oosterlee}, J. Sci. Comput. 50, No. 2, 462--492 (2012; Zbl 1245.65077) Full Text: DOI OpenURL
Zhang, Xiangxiong; Xia, Yinhua; Shu, Chi-Wang Maximum-principle-satisfying and positivity-preserving high order discontinuous Galerkin schemes for conservation laws on triangular meshes. (English) Zbl 1247.65131 J. Sci. Comput. 50, No. 1, 29-62 (2012). Reviewer: Petr Sváček (Praha) MSC: 65M60 65M08 65M12 35L65 76N15 76D05 76M10 76M12 35B50 65M50 PDF BibTeX XML Cite \textit{X. Zhang} et al., J. Sci. Comput. 50, No. 1, 29--62 (2012; Zbl 1247.65131) Full Text: DOI OpenURL
Zhang, Xiangxiong; Shu, Chi-Wang Positivity-preserving high order finite difference WENO schemes for compressible Euler equations. (English) Zbl 1426.76493 J. Comput. Phys. 231, No. 5, 2245-2258 (2012). MSC: 76M20 76N15 PDF BibTeX XML Cite \textit{X. Zhang} and \textit{C.-W. Shu}, J. Comput. Phys. 231, No. 5, 2245--2258 (2012; Zbl 1426.76493) Full Text: DOI OpenURL
Rycroft, Chris H.; Gibou, Frédéric Simulations of a stretching bar using a plasticity model from the shear transformation zone theory. (English) Zbl 1329.74303 J. Comput. Phys. 231, No. 5, 2155-2179 (2012). MSC: 74S20 74K10 74C05 74R20 PDF BibTeX XML Cite \textit{C. H. Rycroft} and \textit{F. Gibou}, J. Comput. Phys. 231, No. 5, 2155--2179 (2012; Zbl 1329.74303) Full Text: DOI Link OpenURL
John, Volker; Novo, Julia On (essentially) non-oscillatory discretizations of evolutionary convection-diffusion equations. (English) Zbl 1242.65164 J. Comput. Phys. 231, No. 4, 1570-1586 (2012). MSC: 65M06 65M60 65L06 35K57 PDF BibTeX XML Cite \textit{V. John} and \textit{J. Novo}, J. Comput. Phys. 231, No. 4, 1570--1586 (2012; Zbl 1242.65164) Full Text: DOI OpenURL
Zahran, Yousef Hashem A very-high-order improved WENO scheme for hyperbolic conservation laws. (English) Zbl 1265.65164 C. R. Acad. Bulg. Sci. 64, No. 10, 1393-1402 (2011). Reviewer: Angela Slavova (Sofia) MSC: 65M06 65M12 35L65 35Q53 65L06 PDF BibTeX XML Cite \textit{Y. H. Zahran}, C. R. Acad. Bulg. Sci. 64, No. 10, 1393--1402 (2011; Zbl 1265.65164) OpenURL
Wu, Conghai; Zhao, Ning WENO5 scheme based on a new smoothness indicator. (Chinese. English summary) Zbl 1249.65177 Math. Numer. Sin. 33, No. 3, 257-268 (2011). MSC: 65M06 35L65 65M12 PDF BibTeX XML Cite \textit{C. Wu} and \textit{N. Zhao}, Math. Numer. Sin. 33, No. 3, 257--268 (2011; Zbl 1249.65177) OpenURL
Hu, X. Y.; Adams, N. A. Scale separation for implicit large eddy simulation. (English) Zbl 1286.76068 J. Comput. Phys. 230, No. 19, 7240-7249 (2011). MSC: 76F65 76M20 76F55 PDF BibTeX XML Cite \textit{X. Y. Hu} and \textit{N. A. Adams}, J. Comput. Phys. 230, No. 19, 7240--7249 (2011; Zbl 1286.76068) Full Text: DOI OpenURL
Zhang, Xiangxiong; Shu, Chi-Wang Maximum-principle-satisfying and positivity-preserving high-order schemes for conservation laws: survey and new developments. (English) Zbl 1222.65107 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 467, No. 2134, 2752-2776 (2011). MSC: 65M60 65M12 35L65 35Q35 35B50 PDF BibTeX XML Cite \textit{X. Zhang} and \textit{C.-W. Shu}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 467, No. 2134, 2752--2776 (2011; Zbl 1222.65107) Full Text: DOI OpenURL
Zhang, Xiangxiong; Shu, Chi-Wang Positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations with source terms. (English) Zbl 1391.76375 J. Comput. Phys. 230, No. 4, 1238-1248 (2011). MSC: 76M10 76M12 65M70 35Q35 65M08 76N15 PDF BibTeX XML Cite \textit{X. Zhang} and \textit{C.-W. Shu}, J. Comput. Phys. 230, No. 4, 1238--1248 (2011; Zbl 1391.76375) Full Text: DOI OpenURL
Hu, Xiangyu; Wang, Q.; Adams, Nikolaus A. An adaptive central-upwind weighted essentially non-oscillatory scheme. (English) Zbl 1204.65103 J. Comput. Phys. 229, No. 23, 8952-8965 (2010). MSC: 65M06 35L45 65M20 65L06 PDF BibTeX XML Cite \textit{X. Hu} et al., J. Comput. Phys. 229, No. 23, 8952--8965 (2010; Zbl 1204.65103) Full Text: DOI OpenURL
Zhang, Xiangxiong; Shu, Chi-Wang On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes. (English) Zbl 1282.76128 J. Comput. Phys. 229, No. 23, 8918-8934 (2010). MSC: 76M10 PDF BibTeX XML Cite \textit{X. Zhang} and \textit{C.-W. Shu}, J. Comput. Phys. 229, No. 23, 8918--8934 (2010; Zbl 1282.76128) Full Text: DOI OpenURL
Lu, Ping; Oliveira, Maria; Liu, Chaoqun High-order compact scheme for boundary points. (English) Zbl 1197.65124 Int. J. Comput. Math. 87, No. 8, 1795-1819 (2010). MSC: 65M06 35L65 PDF BibTeX XML Cite \textit{P. Lu} et al., Int. J. Comput. Math. 87, No. 8, 1795--1819 (2010; Zbl 1197.65124) Full Text: DOI OpenURL
Zhang, Xiangxiong; Shu, Chi-Wang On maximum-principle-satisfying high order schemes for scalar conservation laws. (English) Zbl 1187.65096 J. Comput. Phys. 229, No. 9, 3091-3120 (2010). MSC: 65M08 65M06 65M60 65M12 35L65 35B50 PDF BibTeX XML Cite \textit{X. Zhang} and \textit{C.-W. Shu}, J. Comput. Phys. 229, No. 9, 3091--3120 (2010; Zbl 1187.65096) Full Text: DOI OpenURL
Oliveira, Maria; Su, Jianzhong; Xie, Peng; Liu, Chaoqun Truncation error, dissipation and dispersion terms of fifth order WENO and of WCS for 1D conservation law. (English) Zbl 1182.65139 Int. J. Comput. Math. 87, No. 2, 339-352 (2010). MSC: 65M06 65M20 35L65 65M15 PDF BibTeX XML Cite \textit{M. Oliveira} et al., Int. J. Comput. Math. 87, No. 2, 339--352 (2010; Zbl 1182.65139) Full Text: DOI OpenURL
Ladonkina, M. E.; Neklyudova, O. A.; Tishkin, V. F.; Chevanin, V. S. About one choice of essentially non-oscillatory high accuracy order difference scheme for systems of conservation laws. (Russian. English summary) Zbl 1212.65322 Mat. Model. 21, No. 11, 19-32 (2009). Reviewer: Sergei Georgievich Zhuravlev (Moskva) MSC: 65M06 35L65 PDF BibTeX XML Cite \textit{M. E. Ladonkina} et al., Mat. Model. 21, No. 11, 19--32 (2009; Zbl 1212.65322) Full Text: MNR OpenURL
Liu, Yuanyuan; Shu, Chiwang; Zhang, Mengping On the positivity of linear weights in WENO approximations. (English) Zbl 1177.65126 Acta Math. Appl. Sin., Engl. Ser. 25, No. 3, 503-538 (2009). MSC: 65M06 35L65 PDF BibTeX XML Cite \textit{Y. Liu} et al., Acta Math. Appl. Sin., Engl. Ser. 25, No. 3, 503--538 (2009; Zbl 1177.65126) Full Text: DOI OpenURL
Peer, A. A. I.; Dauhoo, M. Z.; Bhuruth, M. A method for improving the performance of the WENO5 scheme near discontinuities. (English) Zbl 1177.65130 Appl. Math. Lett. 22, No. 11, 1730-1733 (2009). MSC: 65M06 65M20 35L65 PDF BibTeX XML Cite \textit{A. A. I. Peer} et al., Appl. Math. Lett. 22, No. 11, 1730--1733 (2009; Zbl 1177.65130) Full Text: DOI OpenURL
Kozakevicius, A. J.; Santos, L. C. C. ENO adaptive method for solving one-dimensional conservation laws. (English) Zbl 1167.65421 Appl. Numer. Math. 59, No. 9, 2337-2355 (2009). MSC: 65M06 65L06 35L65 76N15 76M20 65T60 PDF BibTeX XML Cite \textit{A. J. Kozakevicius} and \textit{L. C. C. Santos}, Appl. Numer. Math. 59, No. 9, 2337--2355 (2009; Zbl 1167.65421) Full Text: DOI OpenURL
Wang, Yong; He, Yaling; Huang, Jing; Li, Qing Implicit-explicit finite difference lattice Boltzmann method with viscid compressible model for gas oscillating patterns in a resonator. (English) Zbl 1168.76034 Int. J. Numer. Methods Fluids 59, No. 8, 853-872 (2009). MSC: 76M20 76M28 76N15 PDF BibTeX XML Cite \textit{Y. Wang} et al., Int. J. Numer. Methods Fluids 59, No. 8, 853--872 (2009; Zbl 1168.76034) Full Text: DOI OpenURL
Li, Ming-jun; Yang, Yu-yue; Shu, Shi Third-order modified coefficient scheme based on essentially non-oscillatory scheme. (English) Zbl 1176.65092 Appl. Math. Mech., Engl. Ed. 29, No. 11, 1477-1486 (2008). MSC: 65M06 35L65 76L05 76E09 76M20 PDF BibTeX XML Cite \textit{M.-j. Li} et al., Appl. Math. Mech., Engl. Ed. 29, No. 11, 1477--1486 (2008; Zbl 1176.65092) Full Text: DOI OpenURL
Zhou, Jun; Cai, Li; Zhou, Feng-Qi New high-resolution scheme for three-dimensional nonlinear hyperbolic conservation laws. (English) Zbl 1139.65066 Appl. Math. Comput. 198, No. 2, 770-786 (2008). MSC: 65M06 65M20 35L65 76M20 76W05 PDF BibTeX XML Cite \textit{J. Zhou} et al., Appl. Math. Comput. 198, No. 2, 770--786 (2008; Zbl 1139.65066) Full Text: DOI OpenURL
Borges, Rafael; Carmona, Monique; Costa, Bruno; Don, Wai Sun An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws. (English) Zbl 1136.65076 J. Comput. Phys. 227, No. 6, 3191-3211 (2008). MSC: 65M06 35L65 35L67 65M12 PDF BibTeX XML Cite \textit{R. Borges} et al., J. Comput. Phys. 227, No. 6, 3191--3211 (2008; Zbl 1136.65076) Full Text: DOI OpenURL
Liu, Yingjie; Shu, Chiwang; Tadmor, Eitan; Zhang, Mengping Non-oscillatory hierarchical reconstruction for central and finite volume schemes. (English) Zbl 1164.65456 Commun. Comput. Phys. 2, No. 5, 933-963 (2007). MSC: 65M06 65M60 PDF BibTeX XML Cite \textit{Y. Liu} et al., Commun. Comput. Phys. 2, No. 5, 933--963 (2007; Zbl 1164.65456) OpenURL
Cai, Li; Xie, Wenxian; Feng, Jianhu; Zhou, Jun Computations of transport of pollutant in shallow water. (English) Zbl 1146.76033 Appl. Math. Modelling 31, No. 3, 490-498 (2007). MSC: 76M12 76T20 86A05 PDF BibTeX XML Cite \textit{L. Cai} et al., Appl. Math. Modelling 31, No. 3, 490--498 (2007; Zbl 1146.76033) Full Text: DOI OpenURL
Zahran, Yousef Hashem WENO-TVD schemes for hyperbolic conservation laws. (English) Zbl 1134.65066 Analysis, München 27, No. 1, 73-94 (2007). MSC: 65M20 65M06 65M12 35L65 65L06 PDF BibTeX XML Cite \textit{Y. H. Zahran}, Analysis, München 27, No. 1, 73--94 (2007; Zbl 1134.65066) Full Text: DOI OpenURL
Qiu, Jianxian Hermite WENO schemes with Lax-Wendroff type time discretizations for Hamilton-Jacobi equations. (English) Zbl 1142.65403 J. Comput. Math. 25, No. 2, 131-144 (2007). MSC: 65M06 70H20 35L60 PDF BibTeX XML Cite \textit{J. Qiu}, J. Comput. Math. 25, No. 2, 131--144 (2007; Zbl 1142.65403) OpenURL
Shen, Jun; Shu, Chi-Wang; Zhang, Mengping A high order WENO scheme for a hierarchical size-structured population model. (English) Zbl 1130.65091 J. Sci. Comput. 33, No. 3, 279-291 (2007). Reviewer: Marius Ghergu (Dublin) MSC: 65M06 92D25 PDF BibTeX XML Cite \textit{J. Shen} et al., J. Sci. Comput. 33, No. 3, 279--291 (2007; Zbl 1130.65091) Full Text: DOI OpenURL
Zahran, Yousef Hashem A class of high order TVD schemes for systems of conservation laws. (English) Zbl 1125.65086 Port. Math. (N.S.) 64, No. 2, 155-174 (2007). MSC: 65M06 35L65 65M20 76M20 76N15 PDF BibTeX XML Cite \textit{Y. H. Zahran}, Port. Math. (N.S.) 64, No. 2, 155--174 (2007; Zbl 1125.65086) Full Text: DOI OpenURL
Luo, Hong; Baum, Joseph D.; Löhner, Rainald A Hermite WENO-based limiter for discontinuous Galerkin method on unstructured grids. (English) Zbl 1122.65089 J. Comput. Phys. 225, No. 1, 686-713 (2007). MSC: 65M60 35L65 76N15 76M10 65M50 PDF BibTeX XML Cite \textit{H. Luo} et al., J. Comput. Phys. 225, No. 1, 686--713 (2007; Zbl 1122.65089) Full Text: DOI OpenURL
Chou, Ching-Shan; Shu, Chi-Wang High order residual distribution conservative finite difference WENO schemes for convection-diffusion steady state problems on non-smooth meshes. (English) Zbl 1119.65078 J. Comput. Phys. 224, No. 2, 992-1020 (2007). Reviewer: Nicolae Pop (Baia Mare) MSC: 65M06 35K15 65M12 76M20 PDF BibTeX XML Cite \textit{C.-S. Chou} and \textit{C.-W. Shu}, J. Comput. Phys. 224, No. 2, 992--1020 (2007; Zbl 1119.65078) Full Text: DOI OpenURL
Costa, Bruno; Don, Wai Sun High order hybrid central-WENO finite difference scheme for conservation laws. (English) Zbl 1115.65091 J. Comput. Appl. Math. 204, No. 2, 209-218 (2007). MSC: 65M06 35L65 76M20 PDF BibTeX XML Cite \textit{B. Costa} and \textit{W. S. Don}, J. Comput. Appl. Math. 204, No. 2, 209--218 (2007; Zbl 1115.65091) Full Text: DOI OpenURL
Pantano, C.; Deiterding, R.; Hill, D. J.; Pullin, D. I. A low numerical dissipation patch-based adaptive mesh refinement method for large eddy simulation of compressible flows. (English) Zbl 1125.76034 J. Comput. Phys. 221, No. 1, 63-87 (2007). MSC: 76F65 76M20 76M12 76F50 PDF BibTeX XML Cite \textit{C. Pantano} et al., J. Comput. Phys. 221, No. 1, 63--87 (2007; Zbl 1125.76034) Full Text: DOI Link OpenURL
Chen, Jian-Zhong; Shi, Zhong-Ke Solution of 2D shallow water equations by genuinely multidimensional semi-discrete central scheme. (English) Zbl 1203.76021 J. Hydrodyn., Ser. B 18, No. 4, 436-442 (2006). MSC: 76B15 76M12 PDF BibTeX XML Cite \textit{J.-Z. Chen} and \textit{Z.-K. Shi}, J. Hydrodyn., Ser. B 18, No. 4, 436--442 (2006; Zbl 1203.76021) Full Text: DOI OpenURL
Fürst, Jiří A weighted least square scheme for compressible flows. (English) Zbl 1123.76039 Flow Turbul. Combust. 76, No. 4, 331-342 (2006). MSC: 76M12 76H05 PDF BibTeX XML Cite \textit{J. Fürst}, Flow Turbul. Combust. 76, No. 4, 331--342 (2006; Zbl 1123.76039) Full Text: DOI OpenURL
Abgrall, R. Essentially non-oscillatory residual distribution schemes for hyperbolic problems. (English) Zbl 1089.65083 J. Comput. Phys. 214, No. 2, 773-808 (2006). MSC: 65M06 65M12 35L65 PDF BibTeX XML Cite \textit{R. Abgrall}, J. Comput. Phys. 214, No. 2, 773--808 (2006; Zbl 1089.65083) Full Text: DOI Link OpenURL
Xing, Yulong; Shu, Chi-Wang High order well-balanced finite volume WENO schemes and discontinuous Galerkin methods for a class of hyperbolic systems with source terms. (English) Zbl 1089.65091 J. Comput. Phys. 214, No. 2, 567-598 (2006). MSC: 65M06 65M60 35L65 PDF BibTeX XML Cite \textit{Y. Xing} and \textit{C.-W. Shu}, J. Comput. Phys. 214, No. 2, 567--598 (2006; Zbl 1089.65091) Full Text: DOI OpenURL
Tang, Lingyan; Song, Songhe A simplified weighted ENO scheme for 2D Hamilton-Jacobi equations on unstructured meshes. (English) Zbl 1099.65535 Chin. J. Numer. Math. Appl. 27, No. 4, 40-48 (2005). MSC: 65M06 35L60 65M50 PDF BibTeX XML Cite \textit{L. Tang} and \textit{S. Song}, Chin. J. Numer. Math. Appl. 27, No. 4, 40--48 (2005; Zbl 1099.65535) OpenURL
Qiu, Jianxian; Shu, Chi-Wang A comparison of troubled-cell indicators for Runge-Kutta discontinuous Galerkin methods using weighted essentially nonoscillatory limiters. (English) Zbl 1092.65084 SIAM J. Sci. Comput. 27, No. 3, 995-1013 (2005). MSC: 65M60 35L65 65M06 PDF BibTeX XML Cite \textit{J. Qiu} and \textit{C.-W. Shu}, SIAM J. Sci. Comput. 27, No. 3, 995--1013 (2005; Zbl 1092.65084) Full Text: DOI OpenURL
Toro, E. F.; Titarev, V. A. TVD fluxes for the high-order ADER schemes. (English) Zbl 1096.76029 J. Sci. Comput. 24, No. 3, 285-309 (2005). MSC: 76M12 76N15 PDF BibTeX XML Cite \textit{E. F. Toro} and \textit{V. A. Titarev}, J. Sci. Comput. 24, No. 3, 285--309 (2005; Zbl 1096.76029) Full Text: DOI OpenURL
Cai, Li; Feng, Jian-Hu; Xie, Wen-Xian A CWENO-type central-upwind scheme for ideal MHD equations. (English) Zbl 1109.76039 Appl. Math. Comput. 168, No. 1, 600-612 (2005). MSC: 76M20 65M06 76W05 PDF BibTeX XML Cite \textit{L. Cai} et al., Appl. Math. Comput. 168, No. 1, 600--612 (2005; Zbl 1109.76039) Full Text: DOI OpenURL
Tang, Lei Upwind and central WENO schemes. (English) Zbl 1073.65085 Appl. Math. Comput. 166, No. 2, 434-448 (2005). MSC: 65M06 65M12 35L65 PDF BibTeX XML Cite \textit{L. Tang}, Appl. Math. Comput. 166, No. 2, 434--448 (2005; Zbl 1073.65085) Full Text: DOI OpenURL
Henrick, Andrew K.; Aslam, Tariq D.; Powers, Joseph M. Mapped weighted essentially non-oscillatory schemes: Achieving optimal order near critical points. (English) Zbl 1072.65114 J. Comput. Phys. 207, No. 2, 542-567 (2005). MSC: 65M06 35L45 65M12 35L65 PDF BibTeX XML Cite \textit{A. K. Henrick} et al., J. Comput. Phys. 207, No. 2, 542--567 (2005; Zbl 1072.65114) Full Text: DOI OpenURL
Kleimann, Jens; Kopp, Andreas; Fichtner, Horst; Grauer, Rainer; Germaschewski, Kai Three-dimensional MHD high-resolution computations with CWENO employing adaptive mesh refinement. (English) Zbl 1196.76085 Comput. Phys. Commun. 158, No. 1, 47-56 (2004). MSC: 76W05 76-04 76M25 PDF BibTeX XML Cite \textit{J. Kleimann} et al., Comput. Phys. Commun. 158, No. 1, 47--56 (2004; Zbl 1196.76085) Full Text: DOI OpenURL
Xu, Zhenli; Qiu, Jianxian; Liu, Ruxun Some optimal methods for WENO scheme in hyperbolic conservation laws. (Chinese. English summary) Zbl 1047.65073 J. Univ. Sci. Technol. China 34, No. 1, 29-37, 54 (2004). MSC: 65M06 35L65 PDF BibTeX XML Cite \textit{Z. Xu} et al., J. Univ. Sci. Technol. China 34, No. 1, 29--37, 54 (2004; Zbl 1047.65073) OpenURL
Ren, Yuxin; Liu, Miao’er; Zhang, Hanxin A characteristic-wise hybrid compact-WENO scheme for solving hyperbolic conservation laws. (English) Zbl 1037.65090 J. Comput. Phys. 192, No. 2, 365-386 (2003). MSC: 65M06 35L65 76N15 PDF BibTeX XML Cite \textit{Y. Ren} et al., J. Comput. Phys. 192, No. 2, 365--386 (2003; Zbl 1037.65090) Full Text: DOI OpenURL
Zhang, Mengping; Shu, Chi-Wang; Wong, George C. K.; Wong, S. C. A weighted essentially non-oscillatory numerical scheme for a multi-class Lighthill–Whitham–Richards traffic flow model. (English) Zbl 1041.90008 J. Comput. Phys. 191, No. 2, 639-659 (2003). MSC: 90B20 65M06 PDF BibTeX XML Cite \textit{M. Zhang} et al., J. Comput. Phys. 191, No. 2, 639--659 (2003; Zbl 1041.90008) Full Text: DOI OpenURL
Bryson, Steve; Levy, Doron High-order semi-discrete central-upwind schemes for multi-dimensional Hamilton-Jacobi equations. (English) Zbl 1027.65126 J. Comput. Phys. 189, No. 1, 63-87 (2003). MSC: 65M20 35L60 65Y20 65M06 65M12 PDF BibTeX XML Cite \textit{S. Bryson} and \textit{D. Levy}, J. Comput. Phys. 189, No. 1, 63--87 (2003; Zbl 1027.65126) Full Text: DOI OpenURL
Liang, S. M.; Wang, J. S.; Chen, H. Numerical study of spherical blast-wave propagation and reflection. (English) Zbl 1030.76025 Shock Waves 12, No. 1, 59-68 (2002). Reviewer: Hanaa Hamad (Alexandria) MSC: 76L05 76M12 PDF BibTeX XML Cite \textit{S. M. Liang} et al., Shock Waves 12, No. 1, 59--68 (2002; Zbl 1030.76025) Full Text: DOI OpenURL
Li, Ying; Raichlen, Frederic Non-breaking and breaking solitary wave run-up. (English) Zbl 1005.76011 J. Fluid Mech. 456, 295-318 (2002). Reviewer: Wang Cun-Zheng (Chengdu) MSC: 76B25 76M20 76-05 86A05 PDF BibTeX XML Cite \textit{Y. Li} and \textit{F. Raichlen}, J. Fluid Mech. 456, 295--318 (2002; Zbl 1005.76011) Full Text: DOI OpenURL